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Finding the Fourth Proportional to 46,876.48, 70,315 and 19,174.48

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Solution

The fourth proportional to 46,876.48, 70,315 and 19,174.48 is: 28,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876.48 : 70,315 = 19,174.48 : x
  2. Step 2: Convert to fraction form
    46,876.48/70,315 = 19,174.48/x
  3. Step 3: Cross multiply
    46,876.48x = 70,315 × 19,174.48
  4. Step 4: Simplify right side
    46,876.48x = 1,348,253,561.20
  5. Step 5: Solve for x
    x = 1,348,253,561.20/46,876.48
  6. Step 6: Final answer
    x = 28,761.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.